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Jul 29, 2011
07/11

by
Abarbanel, Andrew

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Topics: Interpersonal relations, Neuropsychiatry

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Dec 2, 2019
12/19

by
Abarbanel, Joshua

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xii, 115 p. : 18 cm

Topics: Insects, Household pests, Insects -- Identification, Household pests -- Identification

Topics: Readers and speakers, Jews -- History, Jews -- Biography

Topics: Readers, Jews -- History, Jews

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28

Sep 20, 2013
09/13

by
Joseph Abarbanel; Shmuel Rosset

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Let $L$ be a free Lie algebra over a field $k$, $I$ a non-trivial proper ideal of $L$, $n>1$ an integer. The multiplicator $H_2(L/I^n,k)$ of $L/I^n$ is not finitely generated, and so in particular, $L/I^n$ is not finitely presented, even when $L/I$ is finite dimensional.

Source: http://arxiv.org/abs/math/9611204v1

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Aug 12, 2019
08/19

by
Abarbanel, H. D. I

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xiv, 272 p. ; 25 cm

Topic: Chaotic behavior in systems

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Sep 23, 2013
09/13

by
Henry D. I. Abarbanel

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In using data assimilation to import information from observations to estimate parameters and state variables of a model, one must assume a distribution for the noise in the measurements and in the model errors. Using the path integral formulation of data assimilation~ cite{abar2009}, we introduce the idea of self consistency of the distribution of stochastic model errors: the distribution of model errors from the path integral with observed data should be consistent with the assumption made in...

Source: http://arxiv.org/abs/1012.2031v1

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Jul 21, 2010
07/10

by
Abarbanel, S.; Gottlieb, D

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No Abstract Available

Topics: DEGRADATION, TEFLON (TRADEMARK), TELEMETRY, SOLAR ARRAYS, SOLAR CELLS, SOLAR MAXIMUM MISSION,...

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Sep 22, 2013
09/13

by
Henry D. I. Abarbanel

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Ensemble data assimilation is a problem in determining the most likely phase space trajectory of a model of an observed dynamical sys- tem as it receives inputs from measurements passing information to the model. Using methods developed in statistical physics, we present effective actions and equations of motion for the mean orbits associ- ated with the temporal development of a dynamical model when it has errors, there is uncertainty in its initial state, and it receives informa- tion from...

Source: http://arxiv.org/abs/0908.2045v1

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Aug 28, 2013
08/13

by
Abarbanel, Stacey Ravel

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"Authors: Joan Wai and Stacey Ravel Abarbanel"--Title page verso

Topics: United States - General, United States - West - Pacific (General), Travel, Moving, Household

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Sep 25, 2009
09/09

by
Abarbanel, Stacey Ravel

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Includes index

Topics: Moving, Household, Moving, Household

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Jun 29, 2018
06/18

by
Eve Armstrong; Henry D. I. Abarbanel

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We propose a functional architecture of the adult songbird nucleus HVC in which the core element is a "functional syllable unit" (FSU). In this model, HVC is organized into FSUs, each of which provides the basis for the production of one syllable in vocalization. Within each FSU, the inhibitory neuron population takes one of two operational states: (A) simultaneous firing wherein all inhibitory neurons fire simultaneously, and (B) competitive firing of the inhibitory neurons....

Topics: Quantitative Biology, Neurons and Cognition, Biological Physics, Physics

Source: http://arxiv.org/abs/1603.04131

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Sep 22, 2013
09/13

by
John C. Quinn; Henry D. I. Abarbanel

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The answers to data assimilation questions can be expressed as path integrals over all possible state and parameter histories. We show how these path integrals can be evaluated numerically using a Markov Chain Monte Carlo method designed to run in parallel on a Graphics Processing Unit (GPU). We demonstrate the application of the method to an example with a transmembrane voltage time series of a simulated neuron as an input, and using a Hodgkin-Huxley neuron model. By taking advantage of GPU...

Source: http://arxiv.org/abs/1103.4887v3

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Jul 21, 2010
07/10

by
Abarbanel, S.; Bayliss, A.; Lustman, L

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A small perturbation analysis, in the long wavelength regime, is used to obtain the downstream boundary condition for the pressure for the flow over a flat plate. The methodology is extendable to other geometries. Numerical results for high Reynolds number laminar flows show great improvement in convergence rate to steady state as well as the quality of the results.

Topics: CHEMICAL BONDS, ADHESION, ADHESIVE BONDING, INTERFACIAL ENERGY, DELAMINATING, ELECTRONIC MODULES,...

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Sep 17, 2013
09/13

by
John C. Quinn; Henry D. I. Abarbanel

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Transferring information from observations of a dynamical system to estimate the fixed parameters and unobserved states of a system model can be formulated as the evaluation of a discrete time path integral in model state space. The observations serve as a guiding potential working with the dynamical rules of the model to direct system orbits in state space. The path integral representation permits direct numerical evaluation of the conditional mean path through the state space as well as...

Source: http://arxiv.org/abs/0912.1581v1

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Sep 19, 2013
09/13

by
Henry D. I. Abarbanel; Evren C. Tumer

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Environmental signals sensed by nervous systems are often represented in spike trains carried from sensory neurons to higher neural functions where decisions and functional actions occur. Information about the environmental stimulus is contained (encoded) in the train of spikes. We show how to "read" the encoding using state space methods of nonlinear dynamics. We create a mapping from spike signals which are output from the neural processing system back to an estimate of the analog...

Source: http://arxiv.org/abs/physics/0304003v1

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May 10, 2012
05/12

by
Hillman, Howard; Abarbanel, Karin, joint author

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Bibliography: p. [187]-188

Topic: Fund raising

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Sep 21, 2013
09/13

by
Henry D. I. Abarbanel; Sachin Talathi

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Sensory systems pass information about an animal's environment to higher nervous system units through sequences of action potentials. When these action potentials have essentially equivalent waveforms, all information is contained in the interspike intervals (ISIs) of the spike sequence. We address the question: How do neural circuits recognize and read these ISI sequences? Our answer is given in terms of a biologically inspired neural circuit that we construct using biologically realistic...

Source: http://arxiv.org/abs/q-bio/0508024v2

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Jun 29, 2018
06/18

by
Daniel Breen; Sasha Shirman; Eve Armstrong; Nirag Kadakia; Henry Abarbanel

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Data assimilation (DA) solves the inverse problem of inferring initial conditions given data and a model. Here we use biophysically motivated Hodgkin-Huxley (HH) models of avian HVCI neurons, experimentally obtained recordings of these neurons, and our data assimilation algorithm to infer the full set of parameters and a minimal set of ionic currents precisely reproducing the observed waveform information. We find many distinct validated sets of parameters selected by our DA method and choice...

Topics: Quantitative Biology, Neurons and Cognition

Source: http://arxiv.org/abs/1608.04433

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Sep 19, 2013
09/13

by
Thomas Nowotny; Misha I. Rabinovich; Henry D. I. Abarbanel

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We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely connected by STDP synapses. All synapses are modified according to the so-called normal STDP rule observed in various real biological synapses. After conditioning through repeated input of a limited number of of temporal sequences the system is able to complete...

Source: http://arxiv.org/abs/nlin/0209011v2

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Jun 30, 2018
06/18

by
Zhe An; Daniel Rey; Henry D. I. Abarbanel

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Utilizing the information in observations of a complex system to make accurate predictions through a quantitative model when observations are completed at time $T$, requires an accurate estimate of the full state of the model at time $T$. When the number of measurements $L$ at each observation time within the observation window is larger than a sufficient minimum value $L_s$, the impediments in the estimation procedure are removed. As the number of available observations is typically such that...

Topics: Physics, Nonlinear Sciences, Atmospheric and Oceanic Physics, Chaotic Dynamics

Source: http://arxiv.org/abs/1405.2579

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Sep 22, 2013
09/13

by
H. D. Abarbanel; S. S. Talathi; L. Gibb; M. Rabinovich

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Experimental observations on synaptic plasticity at individual glutamatergic synapses from the CA3 Shaffer collateral pathway onto CA1 pyramidal cells in the hippocampus suggest that the transitions in synaptic strength occur among discrete levels at individual synapses (~\cite{Peter} and S. S.-H. Wang, unpublished data used with the authors' permission). This happens for both long term potentiation (LTP) and long term depression (LTD) induction protocols. O'Connor, Wittenberg, and Wang have...

Source: http://arxiv.org/abs/q-bio/0501026v1

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Jan 17, 2012
01/12

by
Ellis, Albert, 1913- ed; Abarbanel, Albert, joint ed

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Includes bibliographies

Topic: Sex

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Feb 2, 2010
02/10

by
Ellis, Albert, 1913-2007; Abarbanel, Albert, joint author. Aspects of sexuality

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Includes bibliographical references

Topic: Sex (Psychology)

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Sep 23, 2013
09/13

by
Jack C. Quinn; Paul H. Bryant; Daniel R. Creveling; Sallee R. Klein; Henry D. I. Abarbanel

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We examine the use of synchronization as a mechanism for extracting parameter and state information from experimental systems. We focus on important aspects of this problem that have received little attention previously, and we explore them using experiments and simulations with the chaotic Colpitts oscillator as an example system. We explore the impact of model imperfection on the ability to extract valid information from an experimental system. We compare two optimization methods: an initial...

Source: http://arxiv.org/abs/0904.2798v1

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Jun 29, 2018
06/18

by
Nirag Kadakia; Eve Armstrong; Daniel Breen; Uriel Morone; Arij Daou; Daniel Margoliash; Henry DI Abarbanel

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With the goal of building a model of the HVC nucleus in the avian song system, we discuss in detail a model of HVC$_{\text{RA}}$ projection neurons comprised of a somatic compartment with fast Na$^+$ and K$^+$ currents and a dendritic compartment with slower Ca$^{2+}$ dynamics. We show this model qualitatively exhibits many observed electrophysiological behaviors. We then show in numerical procedures how one can design and analyze feasible laboratory experiments that allow the estimation of all...

Topics: Quantitative Biology, Data Analysis, Statistics and Probability, Neurons and Cognition, Biological...

Source: http://arxiv.org/abs/1608.04005

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Sep 21, 2013
09/13

by
Matthew B. Kennel; Henry D. I. Abarbanel; J. J. "Sid" Sidorowich

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It is frequently asserted that in a chaotic system two initially close points will separate at an exponential rate governed by the largest global Lyapunov exponent. Local Lyapunov exponents, however, are more directly relevant to predictability. The difference between the local and global Lyapunov exponents, the large variations of local exponents over an attractor, and the saturation of error growth near the size of the attractor---all result in non-exponential scalings in errors at both short...

Source: http://arxiv.org/abs/chao-dyn/9403001v1

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Sep 22, 2013
09/13

by
M. I. Rabinovich; R. Huerta; A. Volkovskii; Henry D. I. Abarbanel; G. Laurent

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Studies of insect olfactory processing indicate that odors are represented by rich spatio-temporal patterns of neural activity. These patterns are very difficult to predict a priori, yet they are stimulus specific and reliable upon repeated stimulation with the same input. We formulate here a theoretical framework in which we can interpret these experimental results. We propose a paradigm of ``dynamic competition'' in which inputs (odors) are represented by internally competing neural...

Source: http://arxiv.org/abs/q-bio/0309033v2

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Sep 21, 2013
09/13

by
Clifford Tureman Lewis; Henry D. I. Abarbanel; Matthew B. Kennel; Michael Buhl; Lucas Illing

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We investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a fraction c of the circulating electric field in the transmitter and injecting it into the optical cavity of the receiver. We then analyze a coupling strategy which relies on modulation of the intensity of the light alone. This avoids problems associated with the polarization and phase of the laser...

Source: http://arxiv.org/abs/chao-dyn/9907021v1

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Sep 19, 2013
09/13

by
Thomas Kreuz; Julie S. Haas; Alice Morelli; Henry D. I. Abarbanel; Antonio Politi

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Estimating the degree of synchrony or reliability between two or more spike trains is a frequent task in both experimental and computational neuroscience. In recent years, many different methods have been proposed that typically compare the timing of spikes on a certain time scale to be fixed beforehand. Here, we propose the ISI-distance, a simple complementary approach that extracts information from the interspike intervals by evaluating the ratio of the instantaneous frequencies. The method...

Source: http://arxiv.org/abs/physics/0701261v3

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Sep 18, 2013
09/13

by
Valentin P. Zhigulin; Mikhail I. Rabinovich; Ramon Huerta; Henry D. I. Abarbanel

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We study the synchronization of two model neurons coupled through a synapse having an activity-dependent strength. Our synapse follows the rules of Spike-Timing Dependent Plasticity (STDP). We show that this plasticity of the coupling between neurons produces enlarged frequency locking zones and results in synchronization that is more rapid and much more robust against noise than classical synchronization arising from connections with constant strength. We also present a simple discrete map...

Source: http://arxiv.org/abs/physics/0212070v1

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Sep 23, 2013
09/13

by
T. Kreuz; D. Chicharro; R. G. Andrzejak; J. S. Haas; H. D. I. Abarbanel

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Measures of multiple spike train synchrony are essential in order to study issues such as spike timing reliability, network synchronization, and neuronal coding. These measures can broadly be divided in multivariate measures and averages over bivariate measures. One of the most recent bivariate approaches, the ISI-distance, employs the ratio of instantaneous interspike intervals. In this study we propose two extensions of the ISI-distance, the straightforward averaged bivariate ISI-distance and...

Source: http://arxiv.org/abs/0903.3083v2

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Sep 22, 2013
09/13

by
Henry D. I. Abarbanel; Naoki Masuda; M. I. Rabinovich; Evren Tumer

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In the analysis of time series from nonlinear sources, mutual information (MI) is used as a nonlinear statistical criterion for the selection of an appropriate time delay in time delay reconstruction of the state space. MI is a statistic over the sets of sequences associated with the dynamical source, and we examine here the distribution of MI, thus going beyond the familiar analysis of its average alone. We give for the first time the distribution of MI for a standard, classical communications...

Source: http://arxiv.org/abs/nlin/0011016v1

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81

Jul 20, 2013
07/13

by
R. Huerta; P. Varona; M. I. Rabinovich; Henry D. I. Abarbanel

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Central Pattern Generators (CPGs) in invertebrates are comprised of networks of neurons in which every neuron has reciprocal connections to other members of the CPG. This is a ``closed'' network topology. An ``open'' topology, where one or more neurons receives input but does not send output to other member neurons, is not found in these CPGs. In this paper we investigate a possible reason for this topological structure using the ability to perform a biological functional task as a measure of...

Source: http://arxiv.org/abs/chao-dyn/9910019v1

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Jun 28, 2018
06/18

by
Jan Schumann-Bischoff; Ulrich Parlitz; Henry D. I. Abarbanel; Mark Kostuk; Daniel Rey; Michael Eldridge; Stefan Luther

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Most data based state and parameter estimation methods require suitable initial values or guesses to achieve convergence to the desired solution, which typically is a global minimum of some cost function. Unfortunately, however, other stable solutions (e.g., local minima) may exist and provide suboptimal or even wrong estimates. Here we demonstrate for a 9-dimensional Lorenz-96 model how to characterize the basin size of the global minimum when applying some particular optimization based...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1507.02071

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Sep 18, 2013
09/13

by
Robert C. Elson; Allen I. Selverston; Ramon Huerta; Nikolai F. Rulkov; Mikhail I. Rabinovich; Henry D. I. Abarbanel

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We report experimental studies of synchronization phenomena in a pair of biological neurons that interact through naturally occurring, electrical coupling. When these neurons generate irregular bursts of spikes, the natural coupling synchronizes slow oscillations of membrane potential, but not the fast spikes. By adding artificial electrical coupling we studied transitions between synchrony and asynchrony in both slow oscillations and fast spikes. We discuss the dynamics of bursting and...

Source: http://arxiv.org/abs/chao-dyn/9811010v1

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Sep 22, 2013
09/13

by
R. D. Pinto; P. Varona; A. R. Volkovskii; A. Szucs; Henry D. I. Abarbanel; M. I. Rabinovich

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We report on experimental studies of synchronization phenomena in a pair of analog electronic neurons (ENs). The ENs were designed to reproduce the observed membrane voltage oscillations of isolated biological neurons from the stomatogastric ganglion of the California spiny lobster Panulirus interruptus. The ENs are simple analog circuits which integrate four dimensional differential equations representing fast and slow subcellular mechanisms that produce the characteristic regular/chaotic...

Source: http://arxiv.org/abs/nlin/0001020v1

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Sep 23, 2013
09/13

by
N. F. Rulkov; M. M. Sushchik; L. S. Tsimring; A. R. Volkovskii; H. D. I. Abarbanel; L. Larson; K. Yao

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Utilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming of recently proposed chaos-based communication schemes is their susceptibility to noise and distortions in communication channels. In this talk we discuss a new approach to communication with chaotic signals, which demonstrates good performance in the presence of channel distortions. This communication scheme is based upon chaotic signals...

Source: http://arxiv.org/abs/chao-dyn/9908015v1

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Sep 18, 2013
09/13

by
J. Welzel; A. Bautista-Salvador; C. Abarbanel; V. Wineman-Fisher; C. Wunderlich; R. Folman; F. Schmidt-Kaler

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We discuss the experimental feasibility of quantum simulation with trapped ion crystals, using magnetic field gradients. We describe a micro structured planar ion trap, which contains a central wire loop generating a strong magnetic gradient of about 20 T/m in an ion crystal held about 160 \mu m above the surface. On the theoretical side, we extend a proposal about spin-spin interactions via magnetic gradient induced coupling (MAGIC) [Johanning, et al, J. Phys. B: At. Mol. Opt. Phys. 42 (2009)...

Source: http://arxiv.org/abs/1102.3645v2